62ed6

← 61ed6

62ed6

63ed6 →

Prime factorization	2 × 31
Step size	50.0315 ¢
Octave	24\62ed6 (1200.76 ¢) (→ 12\31ed6)
Twelfth	38\62ed6 (1901.2 ¢) (→ 19\31ed6)
Consistency limit	6
Distinct consistency limit	6

62 equal divisions of the 6th harmonic (abbreviated 62ed6) is a nonoctave tuning system that divides the interval of 6/1 into 62 equal parts of about 50 ¢ each. Each step represents a frequency ratio of 6^1/62, or the 62nd root of 6.

62ED6 is related to 24edo (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-integer-limit.

Lookalikes: 24edo, 56ed5, 62ed6, 14edf

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	50	33/32, 34/33, 35/34
2	100.1	18/17, 35/33
3	150.1	12/11
4	200.1	9/8
5	250.2	15/13, 22/19
6	300.2	19/16, 31/26
7	350.2	11/9, 27/22
8	400.3	24/19, 34/27
9	450.3	13/10, 22/17, 35/27
10	500.3	4/3
11	550.3	11/8
12	600.4	17/12, 24/17
13	650.4	16/11, 35/24
14	700.4	3/2
15	750.5	17/11
16	800.5	27/17, 35/22
17	850.5	18/11, 31/19
18	900.6	32/19
19	950.6	26/15
20	1000.6
21	1050.7	11/6
22	1100.7	17/9
23	1150.7	33/17, 35/18
24	1200.8	2/1
25	1250.8	33/16, 35/17
26	1300.8	17/8
27	1350.9	24/11, 35/16
28	1400.9	9/4
29	1450.9	30/13
30	1500.9	19/8, 31/13
31	1551	22/9, 27/11
32	1601
33	1651	13/5
34	1701.1	8/3
35	1751.1	11/4
36	1801.1	17/6
37	1851.2	32/11, 35/12
38	1901.2	3/1
39	1951.2	34/11
40	2001.3	35/11
41	2051.3
42	2101.3
43	2151.4
44	2201.4
45	2251.4	11/3
46	2301.5	34/9
47	2351.5	35/9
48	2401.5	4/1
49	2451.5	33/8
50	2501.6	17/4
51	2551.6	35/8
52	2601.6	9/2
53	2651.7
54	2701.7	19/4
55	2751.7
56	2801.8
57	2851.8	26/5
58	2901.8	16/3
59	2951.9	11/2
60	3001.9	17/3
61	3051.9	35/6
62	3102	6/1

Harmonics

Approximation of harmonics in 62ed6

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.8	-0.8	+1.5	+15.5	+0.0	-16.7	+2.3	-1.5	+16.2	+1.3	+0.8
	Relative (%)	+1.5	-1.5	+3.0	+30.9	+0.0	-33.4	+4.5	-3.0	+32.4	+2.6	+1.5
Steps (reduced)		24 (24)	38 (38)	48 (48)	56 (56)	62 (0)	67 (5)	72 (10)	76 (14)	80 (18)	83 (21)	86 (24)

Approximation of harmonics in 62ed6

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+12.3	-16.0	+14.7	+3.0	-1.9	-0.8	+5.7	+17.0	-17.5	+2.1	-24.9
	Relative (%)	+24.5	-31.9	+29.4	+6.1	-3.7	-1.5	+11.4	+33.9	-34.9	+4.1	-49.7
Steps (reduced)		89 (27)	91 (29)	94 (32)	96 (34)	98 (36)	100 (38)	102 (40)	104 (42)	105 (43)	107 (45)	108 (46)

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